34212400576 has 56 divisors (see below), whose sum is σ = 69523660800. Its totient is φ = 16697920512.

The previous prime is 34212400531. The next prime is 34212400627. The reversal of 34212400576 is 67500421243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 642625 + ... + 693823.

Almost surely, 2^34212400576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34212400576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34761830400).

34212400576 is an abundant number, since it is smaller than the sum of its proper divisors (35311260224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34212400576 is a wasteful number, since it uses less digits than its factorization.

34212400576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51461 (or 51451 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The spelling of 34212400576 in words is "thirty-four billion, two hundred twelve million, four hundred thousand, five hundred seventy-six".